Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

The volume V of a pyramid is given by the formula V = (1/3) * base area * height.

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3) * π * r² * h, where r is the radius of the base and h is the height.

Front

Calculate the volume of a pyramid with a base area of 36 cm² and a height of 9 cm.

Back

V = (1/3) * 36 cm² * 9 cm = 108 cm³.

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 5 cm.

Back

V = (1/3) * π * (3 cm)² * (5 cm) ≈ 47.12 cm³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Front

If the height of a pyramid is doubled, how does that affect its volume?

Back

If the height of a pyramid is doubled, its volume also doubles, assuming the base area remains constant.

Front

What is the base area of a square pyramid with a side length of 4 cm?

Back

Base area = side length² = 4 cm * 4 cm = 16 cm².

Front

Find the volume of a square pyramid with a base area of 25 cm² and a height of 10 cm.

Back

V = (1/3) * 25 cm² * 10 cm = 83.33 cm³.

Front

What is the volume of a cone with a diameter of 6 cm and a height of 7 cm?

Back

Radius r = 3 cm; V = (1/3) * π * (3 cm)² * (7 cm) ≈ 21.99 cm³.

Front

What is the volume of a pyramid with a triangular base of area 12 m² and height 4 m?

Back

V = (1/3) * 12 m² * 4 m = 16 m³.